PROBLEM 9.132 A portion of an 8-in.-long steel rod of diameter 1.50 in. is turned to form the conical section shown. Knowing that the turning process reduces the moment of inertia of the rod with respect to the xaxis by 20 percent, determine the height hof the cone. SOLUTION 8-in. rod ()2200001where 2xImamVaLρρπ===and 0.75 in. and 8 in.==Therefore, 4012xIρπ=Rod and cone cylconecylcone13210xxxIIImama=+=+where 2cylcylmVaLh
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